Effective Rate to Acquire Battle Badges?

Anyways, each battle I tried, only about 1 to 2 badges were gained. So far, I only reached Very Hard solos. Can anyone tell me about to get more badges per battle? Give hints about item drops if you can.

Also, FWIW, this page doesn't get much discussion posting because it rarely has significant changes from iteration to iteration - the addition of the Maniac level solo battles is one of the biggest changes it's had in a while.

And speaking of the Maniac solo battles, in this event's next iteration, see if you can beat them - while you can only play 2 of them each day, you'll get 4 badges from each.

Huanglong and Qilin HL

Based on my observation on twitter : Gold flip first chest can drop Huang/Qilin summon x2, Red Host(If there are 2 red the front one) able to drop Gold Brick. The rest is already alike the drop rate table in the wiki